Finite Group DatabasebetaFinite Group Databasebeta| order | 25578 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C29×C49 · Schur multiplier (H2) = C1 |
| direct product | C3×D3×C29×C49 |
| unambiguous semidirect product | C3⋊(C2×C3×C29×C49) |
| Fitting, Hall | C32×C29×C49 ⋊ C2 |
| derived | C3 ⋊ C2×C3×C29×C49 |
| Hall | C32×C49 ⋊ C2×C29 |
| Hall | C32×C29 ⋊ C2×C49 |
| Sylow | C32 ⋊ C2×C29×C49 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8526 |
12789 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25578, 35);